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Finding the Fourth Proportional to 238,120.70, 357,133.46 and 111,728.43

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Solution

The fourth proportional to 238,120.70, 357,133.46 and 111,728.43 is: 167,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,120.70 : 357,133.46 = 111,728.43 : x
  2. Step 2: Convert to fraction form
    238,120.70/357,133.46 = 111,728.43/x
  3. Step 3: Cross multiply
    238,120.70x = 357,133.46 × 111,728.43
  4. Step 4: Simplify right side
    238,120.70x = 39,901,960,227.63
  5. Step 5: Solve for x
    x = 39,901,960,227.63/238,120.70
  6. Step 6: Final answer
    x = 167,570.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.